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Finding the Third Proportional to 521,715 and 829,909

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Solution

The third proportional to 521,715 and 829,909 is: 1,320,163.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,715 : 829,909 = 829,909 : x
  2. Step 2: Convert to fraction form
    521,715/829,909 = 829,909/x
  3. Step 3: Cross multiply
    521,715x = 829,909 × 829,909
  4. Step 4: Simplify right side
    521,715x = 688,748,948,281
  5. Step 5: Solve for x
    x = 688,748,948,281/521,715
  6. Step 6: Final answer
    x = 1,320,163.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.